Question

I have a coil of copper wire. I want to know the length of the wire in the coil. I do not wish to unwind the coil and measure the length directly. I find from a table of densities that the density of copper is 8.89x10^3kg/m^3.

Explain how I could find the length of wire.
measure the diameter of the wire.

Then, knowing the weight of the coil, and subtracting the weight of the core, the remaining weight is purely the wire.

Now divide the mass of wire by the density to get the volume of wire. Divide that by the cross-section area to get the length.

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